Question

Find the area of a rectangular
of one side is 35 cm & diagonal-
37cm. Area of a square plot
1024 m² find the length of wire
which can go round the boundaries
4 times.​

Answer 1

Refer to the above attachment

Answer 2

GIVEN :

• Diagonal = 37 Cm
• Let us consider 35 Cm as 'Length'
• Let the Consider 'Breadth' as 'x'
• Area of square plot = 1024Cm²

TO FIND :

• Find the length of wire which can go round to the boundaries = ? cm

STEP - BY - STEP EXPLANATION :

→ Diagonal = 37Cm (given)

→ Length = 35Cm (given)

→ Breadth = x

_____________________

Now, here

$= > diagonal = \sqrt{ {l}^{2} + {x}^{2} }$

$= > 37 = \sqrt{ {35}^{2} + {x}^{2} }$

$= > {37}^{2} = {35}^{2} + {x}^{2}$

$= > {x}^{2} = {37}^{2} - {35}^{2}$

$= > {x}^{2} = 1369 - 1225$

$= > {x}^{2} = \sqrt{144}$

$= >(breadth) x = 12 \: cm$

Hence, now here

★ Breadth = 12 cm

★ Length = 35cm

AREA OF RECTANGLE = LENGTH × BREADTH

=> Length × Breadth

=> 35 × 12

=> 420Cm²

____________________________

Area of square plot 1024Cm² (given)

---------------------------------------------------

$= > side \: of \: a \: square \: plot \: = \frac{1024}{4} = 256 \: cm$

The length of the wire which can go around the boundaries 4 times = 256 Cm.

____________________________________